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150908 ||| eng |
| 020 |
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|a 9783319207711
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| 100 |
1 |
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|a Umarov, Sabir
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| 245 |
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|a Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
|h Elektronische Ressource
|c by Sabir Umarov
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| 250 |
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|a 1st ed. 2015
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2015, 2015
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| 300 |
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|a XVI, 434 p. 2 illus
|b online resource
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| 505 |
0 |
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|a Function Spaces and Distributions -- Pseudo-Differential Operators with Singular Symbols (DOSS) -- Fractional Calculus and Fractional Order Operators -- Boundary Value Problems for Pseudo-Differential Equations with Singular Symbols -- Initial and Boundary Value Problems for Fractional Order Differential Equations -- Distributed and Variable Order Differential-Operator Equations -- Fractional Fokker-Planck-Kolmogorov Equations -- Random Walk Approximants of Mixed and Time-Changed Levy Processes -- Complex DOSS and Systems of Complex Differential Equations -- References
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| 653 |
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|a Fourier Analysis
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| 653 |
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|a Statistical Physics and Dynamical Systems
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| 653 |
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|a Statistical physics
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| 653 |
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|a Complex Systems
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| 653 |
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|a Partial Differential Equations
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| 653 |
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|a Partial differential equations
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| 653 |
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|a Probability Theory and Stochastic Processes
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| 653 |
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|a Dynamical systems
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| 653 |
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|a Probabilities
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| 653 |
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|a Fourier analysis
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Developments in Mathematics
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-319-20771-1?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.353
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| 520 |
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|a The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations
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